Least Common Multiple of 23/778, 20/239, 335/127

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 23/778, 20/239, 335/127 quickly i.e. 30820 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/778, 20/239, 335/127 is 30820.

LCM(23/778, 20/239, 335/127) = 30820

LCM of 23/778, 20/239, 335/127

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 23/778,20/239,335/127

Given numbers are 23/778,20/239,335/127

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 23,20,335

Least Common Multiple of Numerators i.e. LCM of 23,20,335 is 30820.

GCF of Denominators means GCF of 778,239,127 as per the given fractions.

GCF of 778,239,127 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,20,335

LCM of Fractions 23/778,20/239,335/127 is 30820

5 23, 20, 335
23, 4, 67

∴ So the LCM of the given numbers is 5 x 23 x 4 x 67 = 30820

Least Common Multiple of 23,20,335 with GCF Formula

Least Common Multiple of 23,20,335 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 23,20,335 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,20,335) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(23,20,335) x common factors =1 x 5 = 5

LCM(23,20,335) = ( 23 × 20 × 335 ) / 5

LCM(23,20,335) = 154100 / 5

LCM(23,20,335) = 30820


Lets's calculate GCF of 778,239,127

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30820/1

Therefore the LCM of Fractions 23/778,20/239,335/127 is 30820

Greatest Common Factor of 778,239,127 By Matching Biggest Common Factor Method

Greatest Common Factor of 778,239,127 By Matching Biggest Common Factor Method

Factors of 778

List of positive integer factors of 778 that divides 778 without a remainder.

1,2,389,778

Factors of 239

List of positive integer factors of 239 that divides 239 without a remainder.

1,239

Factors of 127

List of positive integer factors of 127 that divides 127 without a remainder.

1,127

Greatest Common Factor

We found the factors 778,239,127 . The biggest common factor number is the GCF number.
So the greatest common factor 778,239,127 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 23/778, 20/239, 335/127

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 23/778, 20/239, 335/127?

Answer: LCM of Numerators as per given numbers 23/778, 20/239, 335/127 is

LCM of Numerators i.e. for 23,20,335 is 30820

GCF of denominators i.e. for 778,239,127 is 1.

Thus, LCM of Fractions is 30820.Finally, LCM of Fractions for 23/778, 20/239, 335/127 is 30820.